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Finding the Fourth Proportional to 2,766.74, 3,818.37 and 2,066.90

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Solution

The fourth proportional to 2,766.74, 3,818.37 and 2,066.90 is: 2,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.74 : 3,818.37 = 2,066.90 : x
  2. Step 2: Convert to fraction form
    2,766.74/3,818.37 = 2,066.90/x
  3. Step 3: Cross multiply
    2,766.74x = 3,818.37 × 2,066.90
  4. Step 4: Simplify right side
    2,766.74x = 7,892,188.95
  5. Step 5: Solve for x
    x = 7,892,188.95/2,766.74
  6. Step 6: Final answer
    x = 2,852.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.